If-a-b-1-then-prove-that-a-1-a-1-a-2-a-b-1-b-1-b-2-b-2-2-1-ab-

Question Number 152049 by mathdanisur last updated on 25/Aug/21

If a; b ⩾ 1 then prove that :

{(a + 1 + \frac{a + 1}{a^{2}})}^{a} \cdot {(b + 1 + \frac{b + 1}{b^{2}})}^{b} ⩾ 2^{2 (1 + \sqrt{ab})}